2.460   ODE No. 460

1. Problem in Latex
2. Mathematica input
3. Maple input

$${\cos }^4(x)(y^{\prime }(x{)}^2+y(x{)}^2)-a^2=0$$ ✗ Mathematica : cpu = 48.7302 (sec), leaf count = 0 , could not solve

DSolve[-a^2 + Cos[x]^4*(y[x]^2 + Derivative[1][y][x]^2) == 0, y[x], x]

✗ Maple : cpu = 0. (sec), leaf count = 0 , could not solve

dsolve((diff(y(x),x)^2+y(x)^2)*cos(x)^4-a^2 = 0,y(x))